Book/Report FZJ-2018-00696

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Rechenprogramm zur Parametrisierung von Exponential-Sinus-Schwingungen nach der Methode der kleinsten Fehlerquadrate

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1976
Kernforschungsanlage Jülich, Verlag Jülich

Jülich : Kernforschungsanlage Jülich, Verlag, Berichte der Kernforschungsanlage Jülich 1301, 40 p. ()

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Report No.: Juel-1301

Abstract: A fit programme tested in the practice of reactor dynamics, however applicable in general, is described. The parametrization is performed for either damped or undamped sinusoidal oscillations, which are present as a data table in form of distinct data. Thereby it concerns, e. g. time-dependent state variables of reactor physics like neutron flux, Power density, or xenon concentration in the reactor core. The Parameters F$_{o}$ , b, T, t$_{o}$, and $\overline{F}$of the function F(t) = F$_{o}$ $\cdot$ exp ((b(t-t$_{o}$)) $\cdot$ sin ((t-t$_{o}$) $\cdot$ 2$\pi$/T) + $\overline{F}$ are computed iteratively of the data given distinctly by application of the method of the minimum least squares. An analogous algorithm and a subroutine written in PL/1 are introduced. The following properties of the programme are particularly useful for application: - The time-range for parametrization of a curve table is at all selectable. - The programme permeates an independent caIculation of the starting data for the iteration. - An error analysis is performed after the successfully ended iteration.


Contributing Institute(s):
  1. Publikationen vor 2000 (PRE-2000)
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)

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 Record created 2018-01-22, last modified 2021-01-29